My research is focused on the interaction between analysis and theoretical computer science. For more detail you can read my Research Statement or CV.

**Papers and preprints**

Asymptotic divergences and strong dichotomy

with Xiang Huang, Jack H. Lutz and Elvira Mayordomo

Submitted

Semicomputable points in Euclidean spaces

with Mathieu Hoyrup

Submitted

Results on the dimension spectra of planar lines

*International Symposium on Mathematical Foundations of Computer Science (MFCS), 2018*

Analytic computable structure theory and Lp spaces

with Joe Clanin, Timothy H. McNicholl

To appear in *Fundamenta Mathematicae*

Projection theorems using effective dimension

with Neil Lutz

*International Symposium on Mathematical Foundations of Computer Science (MFCS), 2018*

The isometry degree of a computable copy of lp

with Timothy H. McNicholl

*Proceedings of the 14th Annual Conference on Computability in Europe (CiE 2018)*

Semicomputable geometry

with Mathieu Hoyrup and Diego Nava Saucedo

*Proceedings of the 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018).*

Dimension spectra of lines

with Neil Lutz

*Proceedings of the 13th Annual Conference on Computability in Europe (CiE 2017)*

Bounding the dimension of points on a line

with Neil Lutz

Conference version: *Proceedings of the 14th Annual Conference on Theory and Applications of Models of Computation (TAMC 2017)*

Journal version: To appear in *Information & Computation*

Polynomial space randomness in analysis

with Xiang Huang

*Proceedings of the 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)*

Reachability problems for continuous chemical reaction networks

with Adam Case and Jack H. Lutz

Conference version: *Proceedings of the Fifteenth International Conference on Unconventional Computation and Natural Computation (UCNC 2016)*

Journal version: *Natural Computing* 17 (2018), pp. 223-230

Requirements analysis for a product family of DNA nanodevices

with Robyn R. Lutz, Jack H. Lutz, James I. Lathrop, Titus H. Klinge, Divita Mathur, Taylor G. Bergquist and Eric R. Henderson

*Proceedings of the Twentieth IEEE International Requirements Engineering Conference (RE 2012).*

**Surveys and Expository Writings**